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Finding the Fourth Proportional to 20,588.45, 30,882.44 and 5,006.09

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Solution

The fourth proportional to 20,588.45, 30,882.44 and 5,006.09 is: 7,509.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,588.45 : 30,882.44 = 5,006.09 : x
  2. Step 2: Convert to fraction form
    20,588.45/30,882.44 = 5,006.09/x
  3. Step 3: Cross multiply
    20,588.45x = 30,882.44 × 5,006.09
  4. Step 4: Simplify right side
    20,588.45x = 154,600,132.16
  5. Step 5: Solve for x
    x = 154,600,132.16/20,588.45
  6. Step 6: Final answer
    x = 7,509.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.